A channel encoding method in a communication or broadcasting system is provided. The channel encoding method includes reading a first sequence corresponding to a parity check matrix, converting the first sequence to a second sequence by applying a certain rule to a block size corresponding to a parity check matrix and the first sequence, and encoding information bits based on the second sequence. The block size has at least two different integer values.

A wireless receiving device comprises a low-density parity check (LDPC) decoding circuit, comprising a circular shifter constructed and arranged to simultaneously process multiple code words of a parity check matrix configured for different wireless communication standards, including performing a cyclic shift operation of the multiple code words to align with one or more requisite check nodes of a decoder and a logic circuit at an output of the circular shifter constructed and arranged for a matrix larger than the parity check matrix and that includes components having excess hardware due to the construction and arrangement for the larger matrix to decode the multiple code words of the smaller parity check matrix for output to the one or more requisite check nodes.

One coding method of a plurality of coding methods including at least a first coding method and a second coding method is selected, an information sequence is encoded by using the selected coding method, and an encoded sequence obtained by performing predetermined processing on the information sequence is modulated and transmitted. The first coding method is a coding method having a first coding rate, for generating a first encoded sequence by performing puncturing processing on a generated first codeword by using a first parity check matrix. The second coding method is a coding method having a second coding rate, for generating a second encoded sequence by performing puncturing processing on a generated second codeword by using a second parity check matrix that is different from the first parity check matrix, the second coding rate after the puncturing process being different from the first coding rate.

Certain aspects of the present disclosure generally relate to methods and apparatus for decoding low-density parity check (LDPC) codes, for example, using a parity check matrix having full row-orthogonality. An exemplary method for performing low-density parity-check (LDPC) decoding includes receiving soft bits associated to an LDPC codeword and performing LDPC decoding of the soft bits using a parity check matrix, wherein each row of the parity check matrix corresponds to a lifted parity check of a lifted LDPC code, at least two columns of the parity check matrix correspond to punctured variable nodes of the lifted LDPC code, and the parity check matrix has row orthogonality between each pair of consecutive rows that are below a row to which the at least two punctured variable nodes are both connected.

The present technology relates to a transmission device, a transmission method, a reception device, and a reception method for securing good communication quality in data transmission using an LDPC code. The LDPC coding is performed on the basis of the parity check matrix of the LDPC code with the code length N of 17280 bits and the coding rate r of 7/16 or 8/16. The LDPC code includes information bits and parity bits, and the parity check matrix includes an information matrix portion corresponding to the information bits and a parity matrix portion corresponding to the parity bits. The information matrix portion is represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table representing positions of elements of 1 of the information matrix for every 360 columns. The present technology can be applied to, for example, data transmission using an LDPC code.

A cyclic redundancy check, CRC, computation circuit comprising an input for receiving an input stream having an input bit sequence comprising two or more bits at a time aligned to rows of a CRC generator matrix stored in a Look Up Table, LUT; a set of two or more parallel processors configured to perform a CRC computation of the input bit sequence; wherein the LUT comprises a plurality of addresses wherein at least one of the addresses is configured to store two or more rows of the CRC generator matrix; and the set of parallel processors is configured to: combine LUT data with the input stream by using two or more bits of the aligned input stream to mask the two or more rows of the CRC generator matrix stored in the LUT; and combine generated two or more intermediate parity bit sequences into a single parity bit sequence.

An LDPC code encoding method and a communication apparatus are described that provide increased redundant bits through retransmission in an IR-HARQ mechanism, so as to decrease a channel coding rate, and improve decoding performance of an LDPC code. A check matrix of the LDPC code is used as a basic matrix, and the basic matrix is extended to obtain a mother matrix compatible with a plurality of code rates. During LDPC encoding, a transmit device reads, from the mother matrix, a check matrix corresponding to a required code rate, and performs LDPC encoding on an information bit sequence based on the read check matrix. LDPC encoding is performed on the information bit sequence by using check matrices of different sizes, to obtain different quantities of redundant bits.

The present disclosure relates to a method, system, and non-transitory computer-readable storage medium for constructing a base matrix of a PBRL LDPC code, comprising: determining at least one candidate sub-matrix of a PBRL LDPC code based on a base matrix of a QR-QC-LDPC code; obtaining at least one count of cycles with at least one preset length for each of the at least one candidate sub-matrix; and determining a first sub-matrix of the base matrix of the PBRL LDPC code based on the at least one count of cycles.

A low density parity check (LDPC) channel encoding method is used in a wireless communications system. A communication device encodes an input bit sequence by using an LDPC matrix, to obtain an encoded bit sequence for transmission. The LDPC matrix is obtained based on a lifting factor Z and a base matrix. The base matrix may be one of eight exemplary designs. The encoding method can be used in various communications systems including fifth generation (5G) telecommunication systems, and can support various encoding requirements for information bit sequences with different code lengths.

A method includes writing sets of encoded data slices to storage units of a storage network in accordance with error encoding parameters, where for a set of encoded data slices, the error encoding parameters include an error coding number and a decode threshold number, the error coding number indicates a number of encoded data slices that results when a data segment is encoded using an error encoding function and the decode threshold number indicates a minimum number needed to recover the data segment. The method further includes monitoring processing of the writing the sets of encoded data slices to produce write processing performance information. When the write processing performance information compares unfavorably to a desired write performance range, the method further includes adjusting at least one of the error coding number and the decode threshold number to produce adjusted error encoding parameters for writing subsequent encoded data slices.